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This paper considers ionization equilibrium of thermal multicharged plasmas of simple gases and describes calculations of charges of the mean ion (MI) and the most represented ion (RI). A consideration is carried out by means of the Saha-Raizer method. The obtained results are compared with a solution of the Saha equation system. Model gases with a given sequence of ionization levels, namely, linear, logarithmic, and quadratic, were considered. Exact solutions for the sequences of the ion distribution on the ionization degree and exact formulas for the MI and RI values were obtained. It is shown that the problem of ionization equilibrium could be solved exactly at any physically reasonable sequence of the ionization levels. The method is generalized for the case of electronegative gas and for the case of a mixture of chemically noninteracting gases.